1010002100013 has 6 divisors (see below), whose sum is σ = 1458891922254. Its totient is φ = 673334733336.

The previous prime is 1010002099973. The next prime is 1010002100027. The reversal of 1010002100013 is 3100012000101.

It can be written as a sum of positive squares in only one way, i.e., 941526724329 + 68475375684 = 970323^2 + 261678^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1010002100013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112222455557 = 1010002100013 / (1 + 0 + 1 + 0 + 0 + 0 + 2 + 1 + 0 + 0 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1010002099968 and 1010002100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002100713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56111227770 + ... + 56111227787.

It is an arithmetic number, because the mean of its divisors is an integer number (243148653709).

Almost surely, 2^{1010002100013} is an apocalyptic number.

It is an amenable number.

1010002100013 is a deficient number, since it is larger than the sum of its proper divisors (448889822241).

1010002100013 is a wasteful number, since it uses less digits than its factorization.

1010002100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112222455563 (or 112222455560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1010002100013 its reverse (3100012000101), we get a palindrome (4110014100114).

The spelling of 1010002100013 in words is "one trillion, ten billion, two million, one hundred thousand, thirteen".